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Finding the Third Proportional to 51,870,192 and 120,070,152

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Solution

The third proportional to 51,870,192 and 120,070,152 is: 277,940,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870,192 : 120,070,152 = 120,070,152 : x
  2. Step 2: Convert to fraction form
    51,870,192/120,070,152 = 120,070,152/x
  3. Step 3: Cross multiply
    51,870,192x = 120,070,152 × 120,070,152
  4. Step 4: Simplify right side
    51,870,192x = 14,416,841,401,303,104
  5. Step 5: Solve for x
    x = 14,416,841,401,303,104/51,870,192
  6. Step 6: Final answer
    x = 277,940,775.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.